Sage can compute this limit : limit(sum(log(k),k,1,n)/(nlog(n)),n=infinity) # 1 but not this one : limit(sum(klog(k),k,1,n),n=infinity) ? Same with k*(log(k))^2 Any hint ? Thanks.
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Cannot compute limit of sum(log(k),k,1,n)/(n*log(n))
Cannot compute limit of sum(log(k),k,1,n)/(n*log(n))
Sage can compute this limit :
limit(sum(log(k),k,1,n)/(nlog(n)),n=infinity) limit
limit(sum(log(k), k, 1, n) / (n * log(n)), n=infinity) # 1
but not this one :
limit(sum(klog(k),k,1,n),n=infinity) ? one?
limit(sum(k*log(k), k, 1, n), n=infinity)
Same with k*(log(k))^2
k*(log(k))^2. Any hint ?
Thanks.hint?
